GCD of 796, 252, 991, 174 Calculator

Given Input numbers are 796, 252, 991, 174

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Greatest Common Divisior

We found the divisors of 796, 252, 991, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 796, 252, 991, 174 is 1.

Therefore, GCD of numbers 796, 252, 991, 174 is 1

Given Input Data is 796, 252, 991, 174

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 991 is 991

Prime Factorization of 174 is 2 x 3 x 29

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(796, 252) = 50148

GCD(796, 252) = ( 796 x 252 ) / 50148

GCD(796, 252) = 200592 / 50148

GCD(796, 252) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 991

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 991) = 3964

GCD(4, 991) = ( 4 x 991 ) / 3964

GCD(4, 991) = 3964 / 3964

GCD(4, 991) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 174

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 174) = 174

GCD(1, 174) = ( 1 x 174 ) / 174

GCD(1, 174) = 174 / 174

GCD(1, 174) = 1

GCD of 796, 252, 991, 174 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 992, 401, 351, 180
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• GCD of 592, 422, 791, 252
• GCD of 170, 916, 425, 889
• GCD of 677, 834, 212, 991

1. What is the GCD of 796, 252, 991, 174?

GCD of 796, 252, 991, 174 is 1

2. Where do I get the detailed procedure to find GCD of 796, 252, 991, 174?

You can find a detailed procedure to find GCD of 796, 252, 991, 174 on our page.

3. How to find GCD of 796, 252, 991, 174 on a calculator?

You can find the GCD of 796, 252, 991, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.